I do like this idea, but I assumed this scene with Serwe was a way to show the progression of time, how the characters have gotten used to the basic routines of the great host's migration.
I think its easy to say two hundred thousand people marched south towards Shimeh, but this is one of those small details that grounds the book so well. It's not just a cute relatable moment with Serwe waking up before an alarm clock like many of us do. I also like ending a chapter or a scene with some greater event (horns in the distance, host will now move,) moving the plot forward. At least in my mind I see people already starting to decamp and take down the tents.